Question

If g(x)is the inverse of f(x) and f (x) = 4 x + 12, what ig(x)

g (x) = 12 x + 4
g (x) = one-fourth x minus 12
g (x) = x minus 3
g (x) = one-fourth x minus 3

Answer 1

D

Explanation:

Right on edge

Answer 2

The inverse of a given function

d)
`g(x) = (1)/(4) x - 3`

Explanation:

Explanation:-

Given that f(x) = 4x + 12

let y = 4 x + 12

4 x = y - 12

`x = (y-12)/(4)`

`x = (1)/(4) y - 3`

we know that y = f(x)

⇒ x = f⁻¹(y)

`(f^(-1) y) = (1)/(4) y - 3`

Put replace 'y' in 'x'

`(f^(-1) x) = (1)/(4) x - 3`

Final answer:-

The inverse of a given function

`g(x) = (1)/(4) x - 3`